Fuzzy tgp-closed sets and fuzzy t^* gp-closed sets

Authors

  • Noor Riyadh Kareem
  • . .

DOI:

https://doi.org/10.14419/ijet.v7i4.36.24229

Published:

2018-12-09

Keywords:

Fuzzy -set, fuzzy -set, fuzzy -closed set, fuzzy –closedset, fuzzy -closed set. 2010 AMS Subject Classification, 54A40.

Abstract

In this paper, we aim to address the idea of fuzzy -set and fuzzy -set in fuzzy topological space to present new types of the fuzzy closed set named fuzzy -closed set and fuzzy -closed set. We will study several examples and explain the relations of them with other classes of fuzzy closed sets. Moreover, in a fuzzy locally indiscrete space we can see that these two sets are the same.

 

 

References

[1] Azad KK, “On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuityâ€, Journal of Mathematical Analysis and Applications, Vol.82, No.1, (1981), pp.14-32.

[2] Balasubramanian G & Sundaram P, “On some generalizations of fuzzy continuous functionsâ€, Fuzzy sets and systems, Vol.86, No.1, (1997), pp.93-100.

[3] Bin Shahna AS, “On fuzzy strong semi continuity and fuzzy pre continuityâ€, Fuzzy Sets and Systems, Vol.44, No.2, (1991), pp.303-308.

[4] Chang CL, “Fuzzy topological spacesâ€, Journal of Mathematical Analysis and Applications, Vol.24, No.1, (1968), pp.182-190.

[5] Indira T & Rekha K, “Applications of* b-open Sets and** b-open Sets in Topological Spacesâ€, Annals of Pure and Applied Mathematics, Vol.1, No.1, (2012), pp.44-56.

[6] Murugesan S & Thangavelu P, “Fuzzy Pre-Semi-Closed Setsâ€, Bulletin of the Malaysian Mathematical Sciences Society, Vol.31, No.2, (2008), pp.223-232.

[7] Singal MK & Niti P, “Fuzzy preopen sets and fuzzy pre-separation axiomsâ€, Fuzzy Sets and Systems, Vol.44, No.2 (1991), pp.273-281.

[8] Tong J, “On decomposition of continuity in topological spacesâ€, Acta Mathematica Hungarica, Vol.54, No.1-2, (1989), pp.51-55.

[9] Zadeh LA, “Fuzzy setsâ€, Information and Control, Vol.8, No.3, (1965), pp.338-353.

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How to Cite

Riyadh Kareem, N., & ., . (2018). Fuzzy tgp-closed sets and fuzzy t^* gp-closed sets. International Journal of Engineering & Technology, 7(4.36), 718–721. https://doi.org/10.14419/ijet.v7i4.36.24229

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Received 2018-12-18
Accepted 2018-12-18
Published 2018-12-09